查询词典 conditionally well posed problems

This paper discussed the publishing right posed by network transmission of data,reproduction right posed by digital technology,a new database right posed by information packaging,copyright enforcement posed by downloading and printing out,fair use posed by virtual library,international copyright posed by global network communication,and proposed schemes for salving these problems.

本文着重讨论了数据的网络传输引起的发表权、数字化技术引起的复制权、数据包装技术引起的数据库权、下载与印出引起的版权行使、虚拟图书馆引起的合理使用、全球通讯引起的跨国版权问题，以及我国在建立信息高速公路过程中解决知识产权问题的对策。

Beginning with some cases, the article gives basic definitions of inverse problems and ill-posed problems. Then it discusses the Moore-Penrose generalized solution and the Moore-Penrose generalized inverse, and makes a conclusion that linear compact operator equations are ill-posed, that is, the Moore-Penrose generalized solution is unstable.

本文从一些实例出发，介绍了反问题和不适定问题的基本概念，并讨论了方程的Moore-Penrose广义解和Moore-Penrose广义逆，得出了线性紧算子方程的不适定性，即Moore-Penrose广义解的不稳定性的结论。

This thesis is divided into six parts. The first chapter is preface, the current status of research in the inverse problems for parabolic partial differential equations is reported; the second chapter is "regularization methods for numerical differentiation and their applications ", in this chapter we investigate many regularization methods from a viewpoint of regularization theory and algorithm, some applications in the inverse problems for parabolic partial differential equations are given; the third chapter is "spectral regularization methods". Based on Fourier analysis, within the framework of regularization theory, we apply the spectral methods to some ill-posed problems. Many numerical experiments are done in order to show the validity of the methods; the fourth chapter is devoted to wavelet dual least squares method and a revised wavelet method; in the fifth chapter,we combine finite difference method with method of lines and apply it to the backward heat conduction problem in time; in the sixth chapter "identification problems for unknown source ", the essence and the degree of two problems related to source identification are pointed out, at the same time, some numerical methods are reported.

本文分为六个部分，第一章前言简要分析了国内外抛物型偏微分方程反问题的研究现状；第二章数值微分的正则化及其应用从正则化理论和算法的角度出发，考察了许多正则化方法，还给出了数值微分在抛物型偏微分方程反问题的一些应用；第三章谱正则化方法是在Fourier分析的基础上，在一般正则化理论的框架下，给出了这种方法在各种不适定问题中的应用，数值实验表明谱方法是有效的；第四章研究了小波对偶最小二乘方法和改进的小波方法；第五章主要研究了有限差分方法结合线方法在时间反向热传导问题中的应用；第六章是未知源识别问题，主要指出了两类未知源问题的不适定程度和不适定本质，同时报告了一些数值方法。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

Liber Abaci emphasizes summed-up algorithm, but does not pay attention to the form of propositions derived, and it mainly reflects the tendency of practical algorithms, such as principal method from India and the algebraic knowledge from the Arab. In Liber Abaci it is found some problems similar to ancient Chinese mathematics like pursuit problems, drainage problems, business problems, hundred fowls problems, remainder problems, indeterminate problems, as well as some Algorithm—fraction addition and subtraction,the compound rule of three, the method Elchataym and the method of Excess and Deficit, and so on.

在系统梳理《计算之书》数学内容过程中，笔者发现《计算之书》中存有与中国古代数学中相似的实用算题，如：追及问题、排水问题、经商问题、百鸡问题、剩余问题、不定问题等，以及和中算一致的算法：分数算法、多率法和重今有术、第二类"Elchataym算法"和盈不足术等。

Liber Abaci emphasizes summed-up algorithm, but does not pay attention to the form of propositions derived, and it mainly reflects the tendency of practical algorithms, such as principal method from India and the algebraic knowledge from the Arab. In Liber Abaci it is found some problems similar to ancient Chinese mathematics like pursuit problems, drainage problems, business problems, hundred fowls problems, remainder problems, indeterminate problems, as well as some Algorithm—fraction addition and subtraction,the compound rule of three, the method Elchataym and the method of Excess and Deficit, and so on.

在系统梳理《计算之书》数学内容过程中，笔者发现《计算之书》中存有与中国古代数学中相似的实用算题，如：追及问题、排水问题、经商问题、百鸡问题、剩余问题、不定问题等，以及和中算一致的算法：分数算法、多率法和重今有术、第二类&Elchataym算法&和盈不足术等。

Furthermore, it is clear that when carrier signal h=0, closed loop PWM DC-DC converters are not well-posed and when some condition is satisfied, closed loop PWM DC一DC converters with P controller are well-posed.

然后利用该结果对PWM型DC-DC降压变换器的适定性的研究表明当载波信号h=O时闭环PWM DC-DC 变换器总是不适定的，当载波信号h的参数和比例控制器的参数满足一定的条件时，比例控制的闭环PWM DC-DC变换器是适定的。

Theequivalence percolation resistance law is accurate enough to be used in productivitycalculation of horizontal well pattern.(3) Productivity of mixed well pattern of horizontalwell or multilateral horizontal well and vertical well is constructed and formulae are simpleenough to be used in the oilfield. The patterns include 5-spot pattern,7-spot pattern and9-spot pattern.(4) Productivity formula of united rectangular well pattern of horizontaland vertical wells is constructed. By this formula, the calculation results show that fora horizontal well length, there is a shape factor at which the productivity of the patternis biggest. So optimum method of the well pattern is proposed.(5) A new concept ofdimensionless length of horizontal well is advanced and the relationship of optimum shapefactor of the rectangular well pattern against dimensionless length of horizontal well ispresented. The influences of length of the horizontal well, area of the well pattern unitand the thickness of reservior are concerned.

利用该公式计算表明：当水平井长度一定时，存在一个最优井网形状，使得水平井的产能最大，在此基础上提出了水平井井网的优化方法；(5)提出了水平井无因次长度的概念，给出了联合井网最优井网形状因子与水平井无因次长度的关系式，并对水平井长度、油层厚度及井网面积对产能的影响进行了分析；(6)推导出了一无限水平井井排在XY 平面内势的解析解，为不同水平井整体开发井网或水平井和直井井网整体开发渗流理论的研究奠定了理论基础；(7)建立了交错式水平井与直井整体开发渗流理论，给出了拟三维条件下井网产能的精确解析解及该井网最优井网形状因子与水平井无因次长度的关系，并对产能的影响因素进行了分析；(8)建立了水平井与水平井正排列井网、交错排列井网条件下渗流理论及井网产能在拟三维条件下的精确解析解，给出了交错井网条件下最优井网形状因子与水平井无因次长度的关系，通过与正方形井网对比，说明优化井网可大幅度提高开采效果；(9)建立了分支水平井和直井面积井网水油两相非活塞驱替条件下渗流问题的解析解，给出了见水前后无因次产量与无因次时间的关系式以及见水时间等。

The principle and implementation of some familiar reconstructing algorithms on complex temperature field by acoustic methods is also presented. In order to improve the stability of the solution, the regularization method can be used to convert an ill-posed problem into a well-posed problem.

此外，还介绍了复杂温度场声学测量重建的几种常用算法的原理及实现方法，为了提高解的稳定性，可使用正则化方法将不适定性问题转化为适定性问题。

The algorithm only needs to solve an ill-posed linear system and a well-posed minimization problem and requires only the knowledge of the near field measurements of the scattered fields due to point source fields at a finite number of incidence and observation points distributed over a limited aperture.

该算法只需求解一个不适定的线性系和一个适定的非线性最小化问题，而且只需要点源入射场的散射场在某个有限孔径中若干有限个入射和测量点上的近场测量信息。

Objective:To compare the response control and attention of Schizophrenic patients with that of the healthy controls by Integrated Visual and Auditorycontinuous performance test. To quantitate the impairment of cognitive function in patients, and to explore the relationship between cognitive function and the severity of the disorder.

目的：探讨精神分裂症病人在IVA持续操作测试中的反应控制能力、注意力等，并与健康人进行比较，从而量化精神分裂症病人的认知功能损害，并进一步探讨其认知功能与疾病严重程度的关系。

Main effective factors including subcooling degree, mechanical vibration, gas hydrate reformation, environment temperature, noncondensing gas and surfactant are analyzed.

指出过冷度、机械振动、重复生成水合物、环境温度、不凝性气体、添加剂是影响气体水合物生成的主要因素，还对R152a水合物的放冷进行了实验研究。